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Finding the Fourth Proportional to 34,208.89, 51,321.03 and 12,023.80

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Solution

The fourth proportional to 34,208.89, 51,321.03 and 12,023.80 is: 18,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,208.89 : 51,321.03 = 12,023.80 : x
  2. Step 2: Convert to fraction form
    34,208.89/51,321.03 = 12,023.80/x
  3. Step 3: Cross multiply
    34,208.89x = 51,321.03 × 12,023.80
  4. Step 4: Simplify right side
    34,208.89x = 617,073,800.51
  5. Step 5: Solve for x
    x = 617,073,800.51/34,208.89
  6. Step 6: Final answer
    x = 18,038.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.